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Characterization of Ba2In2-xSnxO5+x/2 oxide ion conductors Aur´ elie Rolle, Helen Seymour, Pascal Roussel, Annick Rubbens, Rose-No¨ elle Vannier To cite this version: Aur´ elie Rolle, Helen Seymour, Pascal Roussel, Annick Rubbens, Rose-No¨ elle Vannier. Charac- terization of Ba2In2-xSnxO5+x/2 oxide ion conductors. 11th Euroconference on Science and Technology of Ionics, Sep 2007, Batz sur Mer, France. pp.xx-xx, 2007. <hal-00187573> HAL Id: hal-00187573 https://hal.archives-ouvertes.fr/hal-00187573 Submitted on 15 Nov 2007 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destin´ ee au d´ epˆ ot et ` a la diffusion de documents scientifiques de niveau recherche, publi´ es ou non, ´ emanant des ´ etablissements d’enseignement et de recherche fran¸cais ou ´ etrangers, des laboratoires publics ou priv´ es.

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  • Characterization of Ba2In2-xSnxO5+x/2 oxide ion

    conductors

    Aurélie Rolle, Helen Seymour, Pascal Roussel, Annick Rubbens, Rose-Noëlle

    Vannier

    To cite this version:

    Aurélie Rolle, Helen Seymour, Pascal Roussel, Annick Rubbens, Rose-Noëlle Vannier. Charac-terization of Ba2In2-xSnxO5+x/2 oxide ion conductors. 11th Euroconference on Science andTechnology of Ionics, Sep 2007, Batz sur Mer, France. pp.xx-xx, 2007.

    HAL Id: hal-00187573

    https://hal.archives-ouvertes.fr/hal-00187573

    Submitted on 15 Nov 2007

    HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come fromteaching and research institutions in France orabroad, or from public or private research centers.

    L’archive ouverte pluridisciplinaire HAL, estdestinée au dépôt et à la diffusion de documentsscientifiques de niveau recherche, publiés ou non,émanant des établissements d’enseignement et derecherche français ou étrangers, des laboratoirespublics ou privés.

    https://hal.archives-ouvertes.frhttps://hal.archives-ouvertes.fr/hal-00187573

  • For Peer Review

    1

    Characterization of Ba2In2-xSnxO5+x/2 oxide ion conductors

    Aurélie Rolle*, Helen Seymour, Pascal Roussel, Annick Rubbens, Rose-Noëlle Vannier

    UCCS - Unité de Catalyse et Chimie du Solide, Equipe de Chimie du Solide,

    ENSCL / UST Lille 1, BP 90 108, 59652 Villeneuve d'Ascq Cedex, France

    Abstract

    The Ba2In2-xSnxO5+x/2 solid solution was confirmed up to x = 1 by solid state reaction.

    X-ray diffraction at room and at elevated temperatures, Raman scattering and impedance

    spectroscopy were used to characterise the samples. Structure refinement of composition x =

    0.1 from neutron diffraction data reveals that tin is preferentially located in the tetrahedral

    layers of the brownmillerite.

    Keywords: oxide ion conductors, Ba2In2-xSnxO5+x/2, X-ray diffraction, neutron diffraction,

    Raman scattering.

    * Corresponding author

    Aurélie Rolle

    UCCS - Unité de Catalyse et Chimie du Solide, Equipe de Chimie du Solide,

    CNRS UMR 8181, ENSCL / UST Lille 1, BP 90108, 59652 Villeneuve d'Ascq Cedex, France

    Tel: +33 (0) 3 20 43 49 73, Fax: +33 (0) 3 20 43 68 14

    E-mail: [email protected]

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    1. Introduction

    Goodenough et al. reported in 1990 fast oxide ion conduction in Ba2In2O5 above

    925°C [1], making it of potential use in applications such as solid oxide fuel cells, oxygen

    generating systems and dense catalytic membrane reactors. At room temperature, its structure

    is of brownmillerite-type. Its symmetry is orthorhombic and it can be described as a defective

    perovskite composed of alternating octahedral and tetrahedral layers [2-4]. When the

    temperature is increased, the symmetry becomes tetragonal (T>925°C) and then cubic

    (T>1040°C). These high temperature forms are purely oxide ion conductive.

    Several attempts have been made to stabilise the tetragonal and cubic forms at lower

    temperatures by partial substitution for barium or indium. On the barium site, Sr [8, 11, 21,

    22], La [11, 22-28], Pb [29] have been partially incorporated. A wide range of elements have

    been incorporated on the indium site: Cu [2, 5, 6], Ga [3, 7-11], Y [7, 11, 12], Yb [17], Sc [7,

    12], Al [9], Ce [2, 12, 13], Zr [1, 14-16], Si [12], Ti [17], Sn [18], W [19, 20], Mo [20], V

    [20], Ta [12, 20] and Nb [12, 20]. However, the precise site-occupancy (tetrahedral versus

    octahedral indium sites) was not always examined.

    The aim of the present paper is the characterisation of the Ba2In2-xSnxO5+x/2 solid

    solution. A range of compositions was examined to determine its solubility limit and neutron

    diffraction was performed to determine the preferred site for this dopant.

    2. Experimental

    Ba2In2-xSnxO5+x/2 compounds were prepared by solid state reaction at 1300°C from

    stoichiometric amounts of binary oxides and carbonates with intermediate grindings after

    annealing at 1000°C and 1200°C, in alumina crucibles. Since these phases are known to be

    sensitive to humidity, powders were dried at 500°C under a flow of dry air before

    characterisation. Next, they were characterized by X-ray diffraction using a Hüber

    diffractometer equipped with an image plate sensitive detector over the range 10-100° in 2θ

    with a time of 15 min (CuKα1 = 1.54056 Å). Raman spectra were recorded at room

    temperature using the 647.1 nm excitation line from a Spectra Physics krypton ion laser. The

    beam was focused onto the sample using the macroscopic configuration of the apparatus. The

    scattered light was analysed with an XY Raman Dilor spectrometer equipped with an optical

    multichannel charge coupled device liquid nitrogen–cooled detector. Acquisition and data

    processing were performed with the software LABSPEC.

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    The structure was refined from neutron diffraction data, collected at room temperature

    on the high resolution powder diffractometer D2B at the Institut Laue Langevin (I.L.L.) at

    Grenoble (λ = 1.59334 Å). To collect data in air, approximately 20g of powder were

    introduced in a quartz tube, which was open at one end. The data were collected over the

    range 0.3-160° with a 0.05° step. The JANA 2000 software [30], option powder, was used for

    the refinement. The Rietveld method was applied. The profile could be fitted to a pseudo-

    Voigt function and the background was determined manually.

    High temperature X-ray diffraction was performed on a Bruker axs D8 Advance

    diffractometer equipped with a high temperature Anton Paar HTK 1200 N chamber and a one

    dimensional X-ray detector (VÅNTEC-1) using CuKα radiation. Data were collected in over

    the range10-80° in 2θ, with a 0.015° step and a time of 0.2 seconds per step from room

    temperature to 1000°C. Diffractograms were obtained every 25°C on heating and cooling

    with a heating and cooling rate of 0.1°C/sec. Samples were deposited on platinum sheets to

    avoid any contamination with the alumina crucible.

    Conductivity measurements were performed on pellets 5 mm in diameter and 2-3 mm

    in thickness. Platinum paste electrodes were painted on both faces. Samples were annealed at

    850°C prior to measurement. Measurements were taken using a SI 1255 response analyser

    (Solartron) in the 1-106 Hz frequency range from 500°C to 875°C for compositions x = 0.1

    and x = 0.2 and 500°C to 1000°C for compositions x = 0 and x = 0.3 every 20°C with 1h

    equilibration times before each measurement.

    3. Results and discussion

    3.1. Ba2In2-xSnxO5+x/2 solid solution

    X-ray diffractograms obtained for several compositions are presented in Fig. 1. It

    reveals a solid solution for substitution ratio up to x = 1, beyond which BaSnO3, appeared as

    an impurity. For x ≤ 0.2, the structure is orthorhombic. The composition x = 0.3 contains a

    mixture of orthorhombic and tetragonal phases, whereas composition x = 0.4 is a mixture of

    tetragonal and cubic phases. For 0.4 ≤ x < 1, at room temperature, the sample consists of a

    single cubic phase in good agreement with data previously reported for composition x=1,

    studied for its protonic properties [18].

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    Raman scattering was performed on compositions x = 0, 0.1, 0.2, 0.3, 0.35, 0.4, 0.5

    and 0.6. The spectra are given in Fig. 2 and confirm the change in symmetry with increasing

    dopant content. Compositions with x ≤ 0.2, contain a single brownmillerite-type orthorhombic

    phase and show similar spectra. The unresolved bands obtained for composition x = 0.3 are in

    agreement with the mixture of orthorhombic and tetragonal structures. Important spectral

    modifications are observed for composition in the range of 0.3 ≤ x ≤ 0.4. The bands broaden

    as the substitution ratio is increased with a shift in the frequency (607 cm-1 and 635 cm-1 for x

    = 0.3 and 0.4 respectively). This broadening, which is more intense for cubic composition,

    indicates an increasing disorder as the substitution ratio is increased and the frequency shift

    characterises the solid solution evolution. An increase in the intensity of bands at 393 cm-1

    and ≈ 700 cm-1 is also noticeable as the substitution rate increases; this is likely a result of the

    dopant changing the local structure. Work is currently in progress to determine the exact

    nature of the changes.

    3.2. Dopant location in the brownmillerite structure

    To determine the preferred location of the Sn dopant in the brownmillerite unit cell,

    neutron diffraction data were collected for composition x = 0.1. The Icmm structural model

    proposed by Berastegui was used for the refinement [16]. In a previous study, we determined

    that the excess oxygen in a molybdenum doped compound was located at 4c (¼, ¼, ¼) [31].

    We therefore introduced this extra site to the refinement to account for the oxygen over-

    stoichiometry. The sum of the oxygen occupancies was constrained to match the expected

    oxygen stoichiometry and the occupancy independently refined. O(3) is a split position and its

    occupancy cannot be higher than 0.5. Since it converged slightly to a higher value, it was

    constrained to 0.5. As a first step, tin was introduced to both indium sites of the

    brownmillerite structure, In(1) corresponding to the octahedral layers and In(2) to the

    tetrahedral layers, while constraining the sum of their occupancies to be equal to the expected

    stoichiometry. The refinement revealed a clear preference for the In(2) site with an occupancy

    of –0.031(5) for the In(1) site. For the final refinement all the Sn dopant was therefore placed

    on the In(2) site. The results of the refinement are given in Table 1. A comparison of the

    calculated profile and experimental data is given in Fig. 3. A good fit was obtained with the

    following reliability factors: Robs = 2.80%, Rwobs = 2.70%, Rp = 3.26%, Rwp = 4.10%, RF =

    2.80% and RwF = 2.70%. Sn is therefore distributed over the tetrahedral layers of the

    brownmillerite-type structure. The same trend was observed for Ti-doped compounds [17]. In

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    addition, the refinement confirmed that the extra oxygen is situated on 4c, with an occupancy

    of 0.16(2) and a high isotropic thermal displacement of 0.11(2). This later value was a result

    of a small occupancy and therefore greater relative error for this position. Oxygen vacancies

    on O(1) (equatorial oxygen site in the octahedral layers) and O(2) sites (apical oxygen site)

    were also evidenced. These oxygen vacancies indicate that a disordering of the oxygen lattice

    begins at a lower temperature than the undoped compound and suggests that the phase

    transition temperature of the Sn-doped compound, associated with an increase of the

    conductivity, should occur at lower temperature.

    3.3. Phase transition

    To characterise the phase transitions in this compound (x = 0.1), X-ray diffraction was

    performed at different temperatures. The results are given in Fig. 4. The disappearance of the

    small peak at 33.5°, characteristic of the orthorhombic superstructure, as well as the shrinkage

    of the main Bragg peaks indicate a transition to the tetragonal form at 750°C. At 1000°C, all

    the superlattice reflections vanish, indicating the structure has transformed fully to the cubic

    phase. The phase transitions are fully reversible on cooling, thereby confirming the

    stabilisation of the cubic and tetragonal forms to lower temperature compared to undoped

    Ba2In2O5. The decrease of the orthorhombic-tetragonal phase transition with the substitution

    ratio is in good agreement with our previous results on vanadium, molybdenum and tungsten

    doped compounds [20], it also confirms the trend observed by Fisher at al. when In3+ was

    substituted with elements of same valence but having smaller ionic radius [6].

    3.4. Conduction properties

    Arrhenius plots of the conductivity, measured under dry air for compositions x = 0.1, x

    = 0.2 and x = 0.3, are compared to that of the undoped compound in Fig. 5. Relative densities

    of the samples are given in brackets. These materials are difficult to densify, so that pellets

    with relative densities of only 77% for x = 0.1 and x = 0.2 compositions and 75% for the

    parent compound were used. For composition x = 0.3, the relative density was only 64%.

    With such relative densities, the conduction properties trend only can be deduced. Similar

    activation energies of about 1eV were observed at high temperature for all compositions,

    typical of the high temperature forms of Ba2In2O5. High conductivities were observed for the

    tetragonal form up to 750°C for composition x = 0.1. The orthorhombic-tetragonal phase

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    transition is more sluggish for composition x = 0.2 and characterised by a higher activation

    energy below 650°C. Lower conductivities were obtained for composition x = 0.3 in part due

    to the lower relative density of the pellet.

    4. Conclusions

    The Ba2In2-xSnxO5+x/2 solid solution extends up to x = 1. The structure remains

    orthorhombic at room temperature up to x = 0.2 with tin distributed over the tetrahedral layers

    as evidenced by neutron diffraction. The partial replacement of indium with tin results in a

    decrease of the temperature of the order-disorder phase transition temperature from

    orthorhombic to tetragonal symmetry, and cubic forms are stabilised at room temperature for

    composition with x > 0.4.

    Acknowledgements

    The Institut Laue Langevin is thanked for providing neutron facilities and Dr. Emmanuelle

    Suard (Institut Laue Langevin) and Dr. Olivier Mentré are gratefully acknowledged for their

    help in the data collection. The authors are very grateful to L. Burylo for help with the X-ray

    diffraction. The Fonds Européen de Développement Régional (FEDER), Centre National de la

    Recherche Scientifique (CNRS), Région Nord Pas-de-Calais and the Ministère de l'Education

    Nationale, de l'Enseignement Supérieur et de la Recherche » are acknowledged for funding of

    X-ray diffractometers. A. R. is also grateful to the CNRS and the Région Nord Pas-de-Calais

    for the funding of her PhD grant. Finally, the authors are very grateful to Prof. M.S. Islam and

    Dr. C.A.J. Fisher for fruitful discussion and English corrections.

    References

    [1] Goodenough J. B. , Ruiz-Diaz J. E., Zhen Y. S. (1990) Solid State Ionics 44:21-31.

    [2] Gregory D. H., Weller M. T. (1993) J. Solid State Chem. 107(1):134-148.

    [3] Adler S. B., Reimer J. A., Baltisberger J., Werner U. (1994) J. Am. Chem. Soc.

    116:675-681.

    [4] Speakman S. A., Richardson J. W., Mitchell B. J., Misture S. T. (2002) Solid State

    Ionics 149:247-259.

    [5] Kambe S., Shime I., Ohshima S., Okuyama K., Ohnishi N., Hiraga K. (1994) Physica C

    220:119-126.

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    [6] Kharlanov A. L., Khasanova N. R., Paromova M. V., Antipov E. V., Lykova L. N.,

    Kovba L. M. (1990) Russ. J. Inorg. Chem. 35 (12):1741-1743.

    [7] Fisher C. A. J., Derby B., Brook R. J. (1996) Br. Ceram. Proc. 56:25-33.

    [8] Yamamura H., Yamada Y., Mori T., Atake T. (1998) Solid State Ionics 108:377-381.

    [9] Yamamura H., Hamazaki H., Kakinuma K., Mori T., Haneda H. (1999) J. Korean Phys.

    Soc. 35:200-204.

    [10] Yao T., Uchimoto Y., Kinuhata M., Inagaki T., Yoshida H. (2000) Solid State Ionics

    132:189-198.

    [11] Kakinuma K., Yamamura H., Atake T. (2002) J. Therm. Anal. Calorim. 69:897-904.

    [12] Yamaji A., Kawakami K., Arai M., Adachi T. (2000) Mat. Res. Soc. Symp. 575 :343-

    348.

    [13] Kendall K. R., Navas C., Thomas J. K., zur Loye H. C. (1995) Solid State Ionics

    82:215-223.

    [14] Manthiram A., Kuo J. F., Goodenough J. B. (1993) Solid State Ionics 62:225-234.

    [15] Goodenough J. B., Manthiram A., Kuo J. F. (1993) Mater. Chem. Phys. 35:221-224.

    [16] Berastegui P., Hull S., Garcia-Garcia J., Eriksson S. G. (2002) J. Solid State Chem.

    164:119-130.

    [17] Jayaraman V., Magrez A., Caldes M., Joubert O., Ganne M., Piffard Y., Brohan L.

    (2004) Solid State Ionics 170(1-2):17-24.

    [18] Schober T. (1998) Solid State Ionics 109:1-11.

    [19] Shimura T., Yogo T. (2004) Solid State Ionics 175:345-348.

    [20] Rolle A., Giridharan N. V., Vannier R. N., Abraham F. (2005) Solid State Ionics

    176:2095-2103.

    [21] Yoshinaga M., Yamaguchi M., Furuya T., Wang S., Hashimoto T. (2004) Solid State

    Ionics 169:9-13.

    [22] Kakinuma K., Yamamura H., Haneda H., Atake T. (2002) Solid State Ionics 154-

    155:571-576.

    [23] Kakinuma K., Yamamura H., Haneda H., Atake T. (1999) J. Therm. Anal. Calorim.

    57:737-743.

    [24] Uchimoto Y., Yao T., Takagi H., Inagaki T., Yoshida H. (2000) Electrochemistry

    68:531-533.

    [25] Kakinuma K.,Yamamura H., Haneda H., Atake T. (2001) Solid State Ionics 140:301-

    306.

    [26] Liu Y., Withers R. L., Gerald J. F. (2003) J. Solid State Chem. 170:247-254.

    Page 7 of 16

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    [27] Kakinuma K., Takahashi N., Yamamura H., Nomura K., Atake T. (2004) Solid State

    Ionics 168:69-74.

    [28] Goodenough J. B. (1997) Solid State Ionics 94:17-25.

    [29] Kuramochi H., Mori T., Yamamura H., Kobayashi H., Mitamura T. (1994) J. Ceramic

    Soc. Japan 102:1160-1163.

    [30] Petricek V., Dusek M., Palatinus L., The crystallographic computing system JANA

    2000, Institute of Physics: Praha, Czech Republic, 2006.

    [31] Rolle A., Roussel P., Giridharan N. V., Suard E., Vannier R. N., Chem. Mater.,

    submitted.

    Paper presented at the 11th EuroConference on the Science and Technology of Ionics, Batz-

    sur-Mer, Sept. 9 - 15, 2007

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    Table captions

    Table 1. Structural model for composition x = 0.1, described in the Icmm space group, from

    neutron diffraction data collected at room temperature.

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    Figure Captions

    Fig. 1. Ba2In2-xSnxO5+x/2 X-ray diffractograms for compositions 0 ≤ x ≤ 1.2 (* indicate the

    impurity BaSnO3).

    Fig. 2. Raman spectra of Ba2In2-xSnxO5+x/2 phases with x = 0, 0.1, 0.2, 0.3, 0.35, 0.4, 0.5, 0.6.

    Fig. 3. Calculated profile of Ba2In1.9Sn0.1O5.05 compared to experimental neutron diffraction

    data collected at room temperature.

    Fig. 4. High temperature X-ray diffraction data for Ba2In1.9Sn0.1O5.05 upon a) heating and b)

    cooling.

    Fig. 5. Arrhenius plots for Ba2In2-xSnxO5+x/2 with x = 0, 0.1, 0.2, 0.3. Relative density of

    pellets are given in brackets.

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    Table 1. Structural model for composition x = 0.1, described in the Icmm space group, from

    neutron diffraction data collected at room temperature.

    Icmm A (Å) b (Å) c (Å) volume (Å3) density

    6.0552(4) 16.7696(8) 5.9566(4) 604.85(7) 6.43(2)

    Atom Site x y z Occupancy Uiso (Å2)

    Ba 8h 0.5076(5) 0.6099(2) 0 1 0.0284(6)

    In(1) 4a 0 0 0 1 0.0206(9)

    In/Sn(2) 8i 0.5584(8) ¼ 0.523(2) 0.45 0.035(2)

    O(1) 8g ¼ 0.9925(2) ¼ 0.978(9) 0.0258(6)

    O(2) 8h 0.0451(4) 0.1361(2) 0 0.965(9) 0.0363(7)

    O(3) 8i 0.6327(8) ¼ 0.138(1) 0.5 0.041(2)

    O(4) 4c ¼ ¼ ¼ 0.16(2) 0.11(2)

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    10 20 30 40 50 60 70 80 902 θθθθ (°)

    x=0

    x=1.20x=1.00x=0.90x=0.70x=0.60x=0.50x=0.40x=0.30x=0.20x=0.10

    * *

    *

    *

    10 20 30 40 50 60 70 80 902 θθθθ (°)

    x=0

    x=1.20x=1.00x=0.90x=0.70x=0.60x=0.50x=0.40x=0.30x=0.20x=0.10

    * *

    *

    *

    Fig 1. Ba2In2-xSnxO5+x/2 X-ray diffractograms for compositions 0 ≤ x ≤ 1.2 (* indicates the impurity BaSnO3).

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    Fig. 2. Raman spectra of Ba2In2-xSnxO5+x/2 phases with x = 0, 0.1, 0.2, 0.3, 0.35, 0.4, 0.5, 0.6.

    200 400 600 800Wavenumber (cm-1)

    x=0.60

    x=0.50

    x=0.40

    x=0.35

    x=0.30x=0.20x=0.10

    x=0

    Inte

    nsit

    y (a

    .u.)

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    Fig. 3. Calculated profile of Ba2In1.9Sn0.1O5.05 compared to experimental neutron diffraction

    data collected at room temperature.

    0.0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1.0750 COUNTS(o)

    703 COUNTS(c)

    0.0

    0.1

    0.0

    10.0 30.0 50.0 70.0 90.0 110.0 130.0 150.0

    Inte

    nsity

    (a.u

    .)

    2 θ (°)10 30 50 70 90 110 130 150

    0.0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1.0750 COUNTS(o)

    703 COUNTS(c)

    0.0

    0.1

    0.0

    10.0 30.0 50.0 70.0 90.0 110.0 130.0 150.0

    Inte

    nsity

    (a.u

    .)

    2 θ (°)10 30 50 70 90 110 130 150

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    Fig. 4. High temperature X-ray diffraction data for Ba2In1.9Sn0.1O5.05 upon a) heating and b)

    cooling.

    a)

    b)

    t (°C)

    200

    750

    25

    10 20 30 40 50 60 70 802 θ (°)

    1000cub.

    quadr.

    orth.

    orth.

    275

    975

    t (°C)t (°C)

    200

    750

    25

    10 20 30 40 50 60 70 802 θ (°)

    1000cub.

    quadr.

    orth.

    orth.

    275

    975

    200

    750

    25

    10 20 30 40 50 60 70 802 θ (°)

    1000cub.

    quadr.

    orth.

    orth.

    275

    975

    tetr.

    10 20 30 40 50 60 7010 20 30 40 50 60 70 80

    t (°C)

    25

    1000975

    725750

    orth.

    quadr.

    cub.

    10 20 30 40 50 60 7010 20 30 40 50 60 70 8010 20 30 40 50 60 7010 20 30 40 50 60 70 80

    t (°C)t (°C)

    25

    1000975

    725750

    orth.

    quadr.

    cub.

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    Fig. 5. Arrhenius plots for Ba2In2-xSnxO5+x/2 with x = 0, 0.1, 0.2, 0.3. Relative densities of

    pellets are given in brackets.

    1100 1000 900 800 700 600 500

    -2

    -1

    0

    1

    2

    3

    x=0 (75 %)x=0.1 (77 %)

    x=0.2 (77 %)x=0.3 (64 %)

    log(σT

    )

    t(°C)

    0.8 0.9 1 1.1 1.2 1.3

    1000/T(K-1)

    0.9 eV

    0.9 eV

    1 eV

    1.1 eV

    1100 1000 900 800 700 600 500

    -2

    -1

    0

    1

    2

    3

    log(σT

    )

    t(°C)

    1000/T(K-1)

    eV

    eV

    eV

    eV

    1100 1000 900 800 700 600 500

    -2

    -1

    0

    1

    2

    3

    x=0 (75 %)x=0.1 (77 %)

    x=0.2 (77 %)x=0.3 (64 %)

    log(σT

    )

    t(°C)

    0.8 0.9 1 1.1 1.2 1.3

    1000/T(K-1)

    0.9 eV

    0.9 eV

    1 eV

    1.1 eV

    1100 1000 900 800 700 600 500

    -2

    -1

    0

    1

    2

    3

    log(σT

    )

    t(°C)

    1000/T(K-1)

    eV

    eV

    eV

    eV

    Page 16 of 16

    Ionics

    Ionics